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Finding the Third Proportional to 244,297.69 and 352,431

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Solution

The third proportional to 244,297.69 and 352,431 is: 508,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,297.69 : 352,431 = 352,431 : x
  2. Step 2: Convert to fraction form
    244,297.69/352,431 = 352,431/x
  3. Step 3: Cross multiply
    244,297.69x = 352,431 × 352,431
  4. Step 4: Simplify right side
    244,297.69x = 124,207,609,761
  5. Step 5: Solve for x
    x = 124,207,609,761/244,297.69
  6. Step 6: Final answer
    x = 508,427.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.